यदि \(A=\{1,2\}\), \(B=\{2,3\}\) और \(C=\{3,4\}\) हैं, तो (\(A\times B\)\cap\(A\times C\)) की कार्डिनलिटी क्या है?
If \(A=\{1,2\}\), \(B=\{2,3\}\), and \(C=\{3,4\}\), what is the cardinality of (\(A\times B\)\cap\(A\times C\))?
Explanation opens after your attempt
Correct Answer
B. (2)
Concept
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Hence the cardinality is \(2\cdot1=2\).
Why this answer is correct
The correct answer is B. (2). (\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)), and \(B\cap C={3}\). Hence the cardinality is \(2\cdot1=2\).
Exam Tip
(\(A\times B\)\cap\(A\times C\)=A\times\(B\cap C\)) और \(B\cap C={3}\)। इसलिए कार्डिनलिटी \(2\cdot1=2\) है।
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